Magma V2.19-8 Tue Aug 20 2013 16:09:01 on localhost [Seed = 21012408] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m299 geometric_solution 4.43356831 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 1 3 0132 0132 1230 0132 0 0 0 0 0 -1 1 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.699267707956 0.784449629811 0 3 2 0 0132 2031 3120 3012 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366798365475 0.710335658500 2 0 1 2 3201 0132 3120 2310 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.955362864314 0.572180954784 1 4 0 4 1302 0132 0132 2310 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.791420371223 0.850054708801 3 3 4 4 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.404891378049 0.246054183553 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_4' : d['c_0110_4'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_2, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 180175548435/55835596697*c_0110_4^14 - 228898998573/55835596697*c_0110_4^13 + 1583249766508/55835596697*c_0110_4^12 + 4577273872068/55835596697*c_0110_4^11 + 5892503914778/55835596697*c_0110_4^10 + 13525610778/2427634639*c_0110_4^9 - 16336396236416/55835596697*c_0110_4^8 - 15942567554030/55835596697*c_0110_4^7 + 14359537268482/55835596697*c_0110_4^6 + 24172881213741/55835596697*c_0110_4^5 + 4527308786731/55835596697*c_0110_4^4 - 5843176122771/55835596697*c_0110_4^3 - 3478723314625/55835596697*c_0110_4^2 - 1854977691447/55835596697*c_0110_4 - 971139227206/55835596697, c_0011_0 - 1, c_0011_3 + 5947139/292332967*c_0110_4^14 + 19124215/292332967*c_0110_4^13 - 60515159/292332967*c_0110_4^12 - 239706663/292332967*c_0110_4^11 - 289524471/292332967*c_0110_4^10 - 6981647/12710129*c_0110_4^9 + 687739036/292332967*c_0110_4^8 + 921493877/292332967*c_0110_4^7 - 982556112/292332967*c_0110_4^6 - 1139721681/292332967*c_0110_4^5 + 187708880/292332967*c_0110_4^4 + 339851047/292332967*c_0110_4^3 + 76458715/292332967*c_0110_4^2 - 414600658/292332967*c_0110_4 - 97089217/292332967, c_0101_2 + 15586568059/55835596697*c_0110_4^14 + 5810593277/55835596697*c_0110_4^13 - 142417545127/55835596697*c_0110_4^12 - 267254508472/55835596697*c_0110_4^11 - 265982569299/55835596697*c_0110_4^10 + 9039973691/2427634639*c_0110_4^9 + 1200318928951/55835596697*c_0110_4^8 + 258258100980/55835596697*c_0110_4^7 - 1496006656605/55835596697*c_0110_4^6 - 652167252799/55835596697*c_0110_4^5 + 362517178622/55835596697*c_0110_4^4 + 112272071838/55835596697*c_0110_4^3 - 29090717481/55835596697*c_0110_4^2 + 121367091592/55835596697*c_0110_4 + 22222265841/55835596697, c_0101_4 - 1757302900/55835596697*c_0110_4^14 + 7921270676/55835596697*c_0110_4^13 + 20461858277/55835596697*c_0110_4^12 - 50888590214/55835596697*c_0110_4^11 - 123877771767/55835596697*c_0110_4^10 - 7256032581/2427634639*c_0110_4^9 - 30109134061/55835596697*c_0110_4^8 + 661555937591/55835596697*c_0110_4^7 + 308854066740/55835596697*c_0110_4^6 - 855349935364/55835596697*c_0110_4^5 - 334380977712/55835596697*c_0110_4^4 + 219403848200/55835596697*c_0110_4^3 + 31330426526/55835596697*c_0110_4^2 - 19150571800/55835596697*c_0110_4 + 23515220529/55835596697, c_0110_4^15 + c_0110_4^14 - 9*c_0110_4^13 - 23*c_0110_4^12 - 27*c_0110_4^11 + 5*c_0110_4^10 + 89*c_0110_4^9 + 66*c_0110_4^8 - 94*c_0110_4^7 - 111*c_0110_4^6 - c_0110_4^5 + 33*c_0110_4^4 + 14*c_0110_4^3 + 7*c_0110_4^2 + 3*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB